Question

GCF of 30xy^5 and 25x^2

Answer 1

GCF=5x

Explanation:

To find the GCF of 30xy^5 and 25x^2, we can start by breaking down each term into its prime factors:

30xy^5 = 2 * 3 * 5 * x * y^5

25x^2 = 5^2 * x^2

Next, we identify the common factors in both terms:

Both terms have a factor of 5.

Both terms have a factor of x.

To find the GCF, we take the product of the common factors:

GCF = 5 * x

Therefore, the GCF of 30xy^5 and 25x^2 is 5x.